Renormalization Group-Improved Gravitational Action: A Lagrangian Framework

Abstract

A new approach for embedding the renormalization group running of Newton's constant and cosmological constant in gravity is proposed. This approach is based on a gravitational Lagrangian that gives rise to a new class of modified gravity theories where $G$ and $\Lambda$ are spacetime-dependent functions. The Lagrangian formulation can be interpreted as an effective gravitational action that encapsulates the scale dependence of $G$ and $\Lambda$, arising from quantum effects in the early universe. We show that the new formalism can be discussed using partially the framework and results of Horndeski modified gravity, excluding the equations of motion of the scalar field. The study explores aspects of this new gravity action. We also analyze an interesting non-singular cosmological solution featuring power-law inflation and we discuss the generation of scalar and tensor perturbations within this framework.

minor modifications

References in corpus (29)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• The Running Gravitational Couplings
• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Quantum Gravity at Astrophysical Distances?
• Asymptotically safe cosmology - a status report
• From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework
• Entropy signature of the running cosmological constant
• Scale dependent three-dimensional charged black holes in linear and non-linear electrodynamics
• An effective action for asymptotically safe gravity
• Can scale-dependent cosmology alleviate the $H_0$ tension?
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Arnowitt-Deser-Misner gravity with variable G and Lambda and fixed point cosmologies from the renormalization group
• Asymptotic safety goes on shell
• Constraining the Asymptotically Safe Cosmology: cosmic acceleration without dark energy
• Avoidance of singularities in asymptotically safe Quantum Einstein Gravity
• Asymptotically Safe gravity and non-singular inflationary Big Bang with vacuum birth
• Third Quantization of Brans-Dicke Cosmology
• Addressing the issue of non-unitarity in anisotropic quantum cosmology
• Entropy Production during Asymptotically Safe Inflation
• A solution of the dark energy and its coincidence problem based on local antigravity sources without fine-tuning or new scales
• Effective field equations and scale-dependent couplings in gravity
• Swiss-cheese cosmologies with variable $G$ and $\Lambda$ from the renormalization group
• Quantized Brans Dicke Theory: Phase Transition and Strong Coupling (Large $\omega$) Limit & General Relativity
• Physical Aspects of Unitary evolution of Bianchi-I Quantum Cosmological Model
• Exploring Alternative Cosmologies with the LSST: Simulated Forecasts and Current Observational Constraints
• Role of Future SNIa Data from Rubin LSST in Reinvestigating Cosmological Models
• Derivative expansion of quadratic operators in a general 't Hooft gauge
• Phenomenological footprints of Lambda varying gravity theories inspired from quantum gravity models in the multi-messenger era

Cited by in corpus (2)

• Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes